Half of a set of the parts are manufactured by machine A and half by machine B. Six percent of all the parts are defective. Three percent of the parts manufactured on machine Are defective. Find the probability that a part was manufactured on machine A, given that the part is defective. (Round your answer to 4 decimal places.) Probability

Answers

Answer 1

Answer:

0.25 = 25% probability that a part was manufactured on machine A, given that the part is defective.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured by machine A.

Six percent of all the parts are defective.

This means that [tex]P(A) = 0.06[/tex]

Probability that a part is defective and was manufactured on machine A

3% of the parts manufactured on machine A are defective, manufacture A is responsible for 50% of the parts. So

[tex]P(A \cap B) = 0.03*0.5 = 0.015[/tex]

Find the probability that a part was manufactured on machine A, given that the part is defective.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.06} = 0.25[/tex]

0.25 = 25% probability that a part was manufactured on machine A, given that the part is defective.


Related Questions

holaaaaaaaaaaaaaaaaa plz help i need this quick :)
Quadrilateral ARMY is rotated 90 degrees about the origin. Draw the image of this rotation.

Answers

Answer:

Step-by-step explanation:

If a point (x, y) is rotated 90° counterclockwise about the origin, rule for the rotation will be,

(x, y) → (-y, x)

Therefore, coordinates of the image point after the rotation will be (-y, x).

Following this rule,

Image points of the quadrilateral will be,

A(3, 3) → A'(-3, 3)

R(5, 7) → R'(-7, 5)

M(7, 5) → M'(-5, 7)

Y(5, 1) → Y'(-1, 5)

By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.

Answer:

I got my answer on Khan Academy:

Evaluate integral tan^6(2x) sec^4(2x) dx.

Answers

Answer:

Is the question original or you simply made it.

Find the midpoint of the line segment.

Answers

Answer:

-2,-3

Step-by-step explanation:

What is the area of the figure below

Answers

Answer:

the answer for that is 61.

Step-by-step explanation:

please help
Yaritza finds some nickels and pennies in her change purse. How many coins does she have if she has 140 nickels and 130 pennies? How many coins does she have if she has
n
n nickels and
p
p pennies?

Total coins, 140 nickels and 130 pennies: 270
Total coins,
n
n nickels and
p
p pennies:

Submit Answer

Answers

Answer:

270 coins

n + p

Step-by-step explanation:

Given that :

Number of nickels = 140

Number of pennies = 130

The total numbers coins had:

Number of Nickel + number of pennies

140 + 130 = 270 coins

If Number of nickels = n ; number of pennies = p

The total number of coins :

Number of Nickel + number of pennies

n + p

Take the area calculate the area of the circle around the answer to the nearest hundredth

Answers

Step-by-step explanation:

we cannot see anything, and you did not describe anything. so, there is nothing to calculate.

Review the graph.

On a coordinate plane, a circle has center (1, 0) and radius 5. Another circle has center (0, negative 4) and radius 4. Everything inside the second circle and between the first circle is shaded.

Which system of inequalities has the solution set shown in the graph?

25 < (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2

Answers

Answer:

second option

Step-by-step explanation:

[tex]shaded~area\\(x-1)^2+y^2<25\\and\\(x+4)^2+y^2<16[/tex]

Answer:

A

Step-by-step explanation:

edge

not sure if this is the right question so i dont know if we're thinking about the same question...

8)
8x + 6
14x - 2
A) 11
C) 8
B) -9
D) -7

Answers

Answer:

C) 8

Step-by-step explanation:

Consecutive angles are equal to 180. So 22x+4+180. Solve that to get x=8. Hope I helped and post more questions :)

which of the following is a geometric sequence? ​

Answers

Answer:

The right answer is a.

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST

Alla and Balla together drink 750 milliliters (ml) of water. If Alla drinks 50% more than
Balla, how much does Alla drink?

Answers

Answer:

Step-by-step explanation:

A + B = 750

A = 1.5 B

~~~~~~~~~~~~~~

750-B = 1.5 B

750 = 1.5 B + B

750 = B(1.5 +1)

750 = B (2.5)

B = 300

A = 450

find the equation of the line shown
y =6 x=4

Answers

y - 6 = 0 ................ equation 1

x - 4 = 0 ................ equation 2

A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distribution that corresponds to the following z-score:
z=3

Answers

Answer:

The data item is [tex]X = 580[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that [tex]\mu = 400, \sigma = 60[/tex]

z=3

We have to find X when Z = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]3 = \frac{X - 400}{60}[/tex]

[tex]X - 400 = 3*60[/tex]

[tex]X = 580[/tex]

The data item is [tex]X = 580[/tex]

The system of equations Y equals -1/5 X -6 and Y equals negative 2X +3 is shown on the graph below

Answers

Answer:

The solution of the system is  (5, -7)

Step-by-step explanation:

Here we have the system:

y = (-1/5)*x - 6

y = -2*x + 3

We know that this system is graphed below, and the question is incomplete, but I assume that we want to find the solution to this system. If you can see the graph, the solution is just the point where both graphs intersect, but we can find the solution analytically.

We know that:

y = (-1/5)*x - 6

y = -2*x + 3

Then, we can write:

y =  (-1/5)*x - 6 = y =  -2*x + 3

This leads to:

(-1/5)*x - 6  = -2*x + 3

Now we can solve this for x.

(-1/5)*x + 2*x = 3 + 6

(-1/5)*x + (10/5)*x = 9

(9/5)*x = 9

x = (5/9)*9 = 5

x = 5

now that we know the value of x, we can input this in one of the two equations above to find the correspondent value of y, we will get:

y = -2*x + 3 = -2*5 + 3

y = -10 + 3 = -7

y = -7

Then the solution is:

x = 5 and y = -7, or (5, -7)

How would this quadrilateral be best classified, and what is the measure of Angle B?

Answers

Answer:

The quadrilateral is Rhombus

B=70°

Step-by-step explanation:

110+110+z+z=360

220+2z=360

2z=360-220

2z=140

z=140/2

Therefore, z=70

So Angle B=70

Since z= Angle B=Angle D

What is a cubic function

Answers

Answer:

In mathematics, a cubic function is a function of the form f(x)=ax^3+bx^2+cx+d where the coefficients a, b, c, and d are real numbers, and the variable x takes real values, and a ≠ 0. In other words, it is both a polynomial function of degree three, and a real function.

Using the table of ordered pairs, which equation shows the linear relationship between the x and y values?

---- ----

x|y

-2|2

1|5

3|7

---- ----

A. y = x + 4

B. y = -x

C. y = x - 4

D. y = 4 - x

Answers

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b (m = slope; b = y-intercept)

I used 2 points (-2 , 2) and (1 , 5) to calculate the slope of the line

m= (y₂ - y₁)/(x₂ - x₁)

(5-2)/(1--2) = 3/3= 1

y = 1x + b

using point (1, 5)

5 = 1(1) + b

5 = 1 + b

b = 5-1

b=4

y= 1x + 4 or simply y= x + 4

Answer:

A y = x + 4

yeh i did the test

Step-by-step explanation:

Find the value of each variable. PLEASE HELP ME

Answers

Given:

A quadrilateral DEFG inscribed in a circle.

[tex]m\angle D=60^\circ, m\angle E=m^\circ, m\angle F=2k^\circ, m\angle G=60^\circ[/tex]

To find:

The value of variables [tex]m[/tex] and [tex]k[/tex].

Solution:

If a quadrilateral is inscribed in a circle then it is a cyclic quadrilateral. The opposite angles of a cyclic quadrilateral angle supplementary angles.

Quadrilateral DEFG inscribed in a circle. So, quadrilateral DEFG is a cyclic quadrilateral.

[tex]m\angle D+m\angle F=180^\circ[/tex]                [Supplementary angle]

[tex]60^\circ+2k^\circ=180^\circ[/tex]

[tex]2k^\circ=180^\circ-60^\circ[/tex]

[tex]2k^\circ=120^\circ[/tex]

Divide both sides by 2.

[tex]k^\circ=\dfrac{120^\circ}{2}[/tex]

[tex]k^\circ=60^\circ[/tex]

[tex]k=60[/tex]

Similarly,

[tex]m\angle E+m\angle G=180^\circ[/tex]

[tex]m^\circ+60^\circ=180^\circ[/tex]

[tex]m^\circ=180^\circ-60^\circ[/tex]

[tex]m^\circ=120^\circ[/tex]

[tex]m=120[/tex]

Therefore, the values of the variables are [tex]m=120[/tex] and [tex]k=60[/tex].

If the circumference of the circle is 88 cm, then its radius is 14 cm. 


true or false? ​

Answers

Answer:

The radius is approximately 14 cm

Step-by-step explanation:

The circumference

C = 2 * pi *r

88 = 2 * pi *r

Divide by 2

44 = 3.14 *r

Divide by 3.14

44/3.14 = r

14.01273885=r

False is ur answer


88/2= 44

Help help help help help

Answers

Answer:yo we talking the same test

Step-by-step explanation:

Insta= santiagorez

Answer:

Radius , r = 5 units

Step-by-step explanation:

The standard form of a circle's equation:

  [tex](x-a)^2 + (y -b)^2 = r^2 \ , \ where \ (a , b) \ is \ the \ centre\ and\ r \ is \ the \ radius.[/tex]

Given equation :

  [tex]x^2 - 2x + y^ 2- 4y = 20\\\\[/tex]

Find radius .

Convert the given equation into standard form.

[tex](x - 1)^2 = x^ 2 - 2x + 1 \\\\(y - 2) ^2 = y^ 2 - 4y + 4\\\\[/tex]

Now add both equations :

  [tex](x - 1)^2 + (y - 2)^2 = r^2[/tex]

[tex](x ^ 2 - 2x + 1) + (y^2 - 4y + 4 ) = r^2\\\\(x^2 -2x + y^2 - 4y ) + 1 + 4 = r^2\\\\20 + 1 + 4 = r^2[/tex]          [tex][ \ given : \ x^2 - 2x + y^ 2 - 4y = 20 \ ][/tex]

[tex]25 = r^2 \\\\5 = r[/tex]

14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..

15. One soccer ball costs $4.50. How much will the soccer will balls in the picture cost?

16 is not part

Answers

Answer:

1) divide 123/7 and get the answer

2) multiply 7 by 4.50 and get the answer

Step-by-step explanation:

Kelly used the vertical line test to determine whether or not the curve that she had been given is a function. After conducting the vertical line test, Kelly determined that the curve is a function. Which of the following choices represents the result of Kelly’s vertical line test?

Answers

Answer:

0 or 1

Step-by-step explanation:

Given that Kelley  is tasked with having to use vertical line test to determine whether or not a curve is a function. Each vertical line that Kelly draws through her curve must intersect the curve at maximum one point only in order for thecurve to be a function

Answer is 0 or 1 point

The perimeter of the figure below is 41.6 in. Find the length of the missing side. (Note: diagram is NOT to scale)

Answers

Answer:

[tex]{ \tt{let \: that \: unknown\: side \: be \: x}} \\ { \boxed{ \tt{perimeter = (8 \times side)}}} \\ 41.6 = (3.2 \times 2) + (5.9 \times 5) + x \\ x = 5.7 \:in \\ { \bf{answer : 5.7 \: inches}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

If you put 5 things in your mouth and take 3 out and put them in another hole, how much things are inside of you?

Answers

Answer:

2

Step-by-step explanation:

5-3=2 it's simple really

Answer:

5-3=2

Hope This Helps!!!

Help me pleaseeeeeeeeeeeeeeeeeee

Answers

Answer:

Always a parabola or U Shaped

U shaped or by rotating U it will be like intersect symbol.. You can see it in attached file

…aniwwjwwjaoqkqwgahw qjauaaj

Answers

Answer:

Undefined

Step-by-step explanation:

Lim x - - > 1(1 /In(2-x) + 1/(x-1))

To find the limit as x tends to 1

Substitute x = 1 into the function ;

(1 / In(2 - 1) + 1 / (1 - 1))

(1 / In 1) + (1 / 0)

1 / 0 + 1 / 0

Undefined

if someone could help me i would aprshh

Answers

Answer:

Slope: -5/4

Step-by-step explanation:

Use slope (m) formula:

m = y2 - y1 / x2 - x1

m = 5 - 10 / 49 - 45

m = -5/4

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

Hi there!

Equation for the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

To find the slope of the line, plug in any two points given in the table. For example, we can use the points (49,5) and (53,0):

[tex]=\frac{5-0}{49-53}\\=\frac{5}{-4}[/tex]

Therefore, the slope of the line is [tex]-\frac{5}{4}[/tex].

I hope this helps!

A.Calculate the mean,median and mode.(3 points each) 1.)1,2,3,4,5 2.)2,3,4,5,6,6 3.)6,7,5,4,5,6,2,5

Answers

Answer:

Step-by-step explanation:

1.)1,2,3,4,5

mean=sum of all values/number of values

         =1+2+3+4+5/5

         =15/5

mean=3

Mode :

In the given data, no observation occurs more than once.

Hence the mode of the observations does not exist, means mode=0.

Median

1,2,3,4,5

Middle value is 3 so the median is 3.

2.)2,3,4,5,6,6

mean=sum of all values/number of values

         =2+3+4+5+6+6/6

         =26/6

mean =4.33

Mode

      is that value of the observation which occurs maximum number of times so here mode is 6.

Median

2,3,4,5,6,6

 4+5/2

9/2

median=4.5

3.)6,7,5,4,5,6,2,5

mean=sum of all values/number of values

         =6+7+5+4+5+6+2+5/8

        =40/8

mean =5

Mode

is that value of the observation which occurs maximum number of times so here mode is 5

Median

2,4,5,5,5,6,6,7

5+5/2

10/2

median=5

 

de moirve's
(√3-i ÷ √3+i)^6 = 1

Answers

(√3 - i ) / (√3 + i ) × (√3 - i ) / (√3 - i ) = (√3 - i )² / ((√3)² - i ²)

… = ((√3)² - 2√3 i + i ²) / (3 - i ²)

… = (3 - 2√3 i - 1) / (3 - (-1))

… = (2 - 2√3 i ) / 4

… = 1/2 - √3/2 i

… = √((1/2)² + (-√3/2)²) exp(i arctan((-√3/2)/(1/2))

… = exp(i arctan(-√3))

… = exp(-i arctan(√3))

… = exp(-/3)

By DeMoivre's theorem,

[(√3 - i ) / (√3 + i )]⁶ = exp(-6/3) = exp(-2) = 1

Is it true or false that for all sets A, B, and C, A U (B - C) = (A U B) - C?

Answers

Answer:yes

Step-by-step explanation:66

The given statement  A U (B - C) = (A U B) - C is true.

What is a set ?

A set is collection of well defined objects.

According to the given question we have to state whether A ∪ ( B - C ) = ( A ∪ B ) - C.

Lets consider we have three sets A, B and C and we also consider they intersect each other.

( B - C ) represents the elements which belongs to B but not in C.

∴ A ∪ ( B - C ) represents the no. of elements which belongs to the set B but not in C union the no. of elements which belongs to A.

AND

( A ∪ B ) - C represents no. of elements which belongs to A or B but not in C.

learn more about sets here :

https://brainly.com/question/8053622

#SPJ2

The probability of spinning blue on a spinner is 0.3. If the spinner is spun 40 times, estimate how many times you would spin blue. A 3-sided sninner is snun 10 time 1​

Answers

Answer:

12 times.

Step-by-step explanation:

That would be 40 * 0.3 = 12.

Other Questions
I need help with this -ar -er -ir present tense irregular verbs review worksheet pagina uno-tres.NEED HELP ASAP Does the number of cell layers or the cell shape play a role in the function of the epithelial tissue messageThe drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles. Write a system of inequalities that can be used to represent this situation. The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer as water begins to boil in the kettle the hotter water at the bottom of the kettle closest to the stove begins to rise and the cooler water a above sinks warms. why does the occur? Which is the graph of f(x) = (x + 3)(x - 2 To find the quotient of 3 divided by 6/1 what is the chemical name for NH4? find the equation of line parallel to y=-2x+1 and passing through the point (2,4) Someone pls pls pls solve this!!!!!!! And pls explain how u solved it. I need this due rn ASAP!!! HURRYwho worked the land of the rich eliteA nobles B slaves C peasants D merchants A student swings back and forth from position A to C, as shown.Which of the following happens when the swing moves from Position C to Position B?A. Both potential energy and kinetic energy of the student increase.B. Both potential energy and kinetic energy of the student decrease. C. Potential energy of the student decreases and kinetic energy of the student increases. D. Kinetic energy of the student decreases and potential energy of the student increases. f(x)What is the initial value of the exponential functionrepresented by the table?-218e8-114012111222 I am not sure how to approach this problem or where to start? How would I be able to solve this problem? Robert Solomon and Fernando Flores argue that trust is a choice to believe the trusted person is telling the truth, without independent verification. If bluffing is an accepted rule of business negotiation, can the Solomon and Flores form of trust exist in business? Does your answer (whatever it is) imply anything about the morality of bluffing? are the words "uninteresting" and "uninterested" the same Please help me-f(x) = x2. What is g(x)? Answer the following questions using what you've learned from this unit. Write youranswers in the space provided. Be sure to show all work.CLASSIFY and MEASURE TRIANGLES1. Find angle measures and use angles to classify triangles.Part I: Find the missing angle measure in each triangle. Show your work.(3 points, 1 point each)AAN50"AmCm BmA Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What isthe solution set of this problem?0 (-0, -21)O (-0, -21]o [-21, +00)O (21, +00) Find the area of the composite area